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Finding the Fourth Proportional to 82.19, 123.19 and 61.90

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Solution

The fourth proportional to 82.19, 123.19 and 61.90 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 123.19 = 61.90 : x
  2. Step 2: Convert to fraction form
    82.19/123.19 = 61.90/x
  3. Step 3: Cross multiply
    82.19x = 123.19 × 61.90
  4. Step 4: Simplify right side
    82.19x = 7,625.46
  5. Step 5: Solve for x
    x = 7,625.46/82.19
  6. Step 6: Final answer
    x = 92.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.